# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0211 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0211?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 205, page id 845634801:0211 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=211 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000211.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.82 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. 1N 1ct POT ES F A XYM RESOLYTTONE. PR OBL EM A ZIII. sub clBo, LlatdCBelnciente lonsitudine, latus analytice clicere. GNONIIILALMMMMM AOCALaL LE Lo BMIS, Quod videlicer tie lub cocthcieme plerionis Quoanaeeee orue d triplo larere primo. Ejusdem genea a coctcteme o Untablaticra, ur d Lacta regularia; ea vero quae hune a coeth. cienre lonouune, acilia. aurem interiores aruentur iidem, qui IH AaM PartGuaaraco. quadraci. Superiores, ii- dem qui in expolica analyh quadraco. quadrari adFecti adfirmare lub latere, ex 2naly ( ex- laciria suped Mioles ad tacta addiriria excettu, de inctirura per eum dirisione educetur lacus secundum, uc in paradismale. Valoes Guamauama aec aessustectone Gunete PIa. po-vlani luolacerea aaioCDeMCNMCCtOO, multa vero plano plani PFOPONATE+O9 =68 C -+ 202, 752N, a quari 5, 308, 410. VUIRTTF qUanEA LE IN, laculre propoliti adfecti nesare sub cubo, dl Aetirmare sub lacere quadearo. quadeari. Ex maonicudine isitur propolita5, 308, 416, ur eliciancur larera, relolvetot quadea- to quadraci adfecti, idem arguenre geneli erir ommue oes, Gueeaa qua- draro quadrari puri, eo addico nclarus lingulare quod pa elcitur ducatur in coesti- ciens Colidum. Deinde in illud quoque coëfticiens ducatur larus secundum. Idem l2r05 lonsitudine, ex criplo lateris primi quadrato. Ejusdem lareris quadracum in planum ex- denique lateris cubus ducatur in coëfhcienrem longicudinem. Ac Facta quidem homo- Elcietur Ilaque latus primum, coctciencibus (olira arre siris e adnoracis. Btoles Polica guadraco-quadrati adFCC AMIMHIHaCC HAD CHDO. LL taPIO divilorum ad FaCta ab- Paradie a analysos Gut abo. quadraci duplicicet ausoo, s t per dafato dot sationem. I Eductio laceris mguatis plimi. Coefficiens lonsirudo Coefsiciens solidum 202,7) solvenionM. Ouadrato. quadrarum adfectum subbnciba Sblatbt Ouadrato. quadrarum lateris primi– Alatere primo in coefficiens socluum. Plano. plana ablavitia Summa ablatitiorum. 689256 lano- planum additirium. 283 6 Excessus ablatiriorum 505656 celiquum resot oiut au sectt quadraro. 25 1856 quadralt. A lateris primi cubo in coëfficientem lonei. rudinem. Edu